i1 : M = random(ZZ^3, ZZ^5) o1 = | 7 9 2 4 5 | | 2 5 6 9 6 | | 1 1 6 2 9 | 3 5 o1 : Matrix ZZ <--- ZZ |
i2 : R = QQ[x,y,z] o2 = R o2 : PolynomialRing |
i3 : phi = makeRingMaps(M,R) o3 = {map(QQ,R,{7, 2, 1}), map(QQ,R,{9, 5, 1}), map(QQ,R,{2, 6, 6}), ------------------------------------------------------------------------ map(QQ,R,{4, 9, 2}), map(QQ,R,{5, 6, 9})} o3 : List |
i4 : apply (gens(R),r->phi#2 r) o4 = {2, 6, 6} o4 : List |
i5 : phi#2 o5 = map(QQ,R,{2, 6, 6}) o5 : RingMap QQ <--- R |